Twice the sum of first two angles of a triangle is 54 greater than the third angle. If the second angle is 6 degrees greater than the

Question

Twice the sum of first two angles of a triangle is 54 greater than the third angle. If the second angle is 6 degrees
greater than the first, what is the measure of the largest angle?
Pythagorean triple.

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Katherine 2 months 2021-09-25T07:22:33+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-25T07:24:05+00:00

    Answer:

    102

    Step-by-step explanation:

    let A B C be the angles

    2(A+B)=54+C

    2(A+A+6)=54+C

    4A+12=54+C

    4A=42+C

    A=(42+C)/4

    A+B=(54+C)/2

    A+B+C=180

    (54+C)/2+C=180

    54+C+2C=360

    3C=360-54

    3C=306

    C=102

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